cksieve

A titan, as defined by Samuel Yates, is anyone who has found a titanic prime. This page provides data on those that have found these primes. The data below only reflects on the primes currently on the list. (Many of the terms that are used here are explained on another page.)

Proof-code(s):	p392, p393, p403, p405, p424
E-mail address:	(e-mail address unpublished)
Web page:	http://www.mersenneforum.org/rogue/rogue.html
Username:	cksieve	(entry created on 05/21/16)
Database id:	4589	(entry last modified on 09/30/21)
Program Does *:	sieve
Active primes:	on current list: 5, rank by number 28
Total primes:	number ever on any list: 13
Production score:	for current list 46 (normalized: 8), total 47.0392, rank by score 28
Largest prime:	(362¹³³⁶⁴⁷ + 1)² - 2 ‏(‎683928 digits) via code p403 on 06/17/19
Most recent:	(42¹⁵⁹⁵³⁰ + 1)² - 2 ‏(‎517914 digits) via code p424 on 10/14/21
Entrance Rank:	mean 2654.20 (minimum 1172, maximum 4286)

Descriptive Data: (report abuse)

This program is a sieve for near square numbers of the form (b^n-1)^2-2 and (b^n+1)^2-2. Primes of this form are also known as Carol or Kynea primes.

Surname: Cksieve (used for alphabetizing and in codes)
Unverified primes are omitted from counts and lists until verification completed.

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